Help !!!
See question in image.
Please show workings .

Help !!!See Question In Image.Please Show Workings .

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) from first principles is

f'(x) = lim ( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{3(x+h)^3+2-(3x^3+2)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{3(x^3+3x^2h+3xh^2+h^3)+2-3x^3-2}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{3x^3+9x^2h+9xh^2+3h^3-3x^3}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{9x^2h+9xh^2+3h^3}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{h(9x^2+9xh+3h^3)}{h}[/tex] ← cancel h on numerator/ denominator

      = lim ( h to 0 ) 9x²+9xh+3h² ← let h go to zero

f'(x) = 9x²


Related Questions

its urgent pls answer
(2,8)
(4,2,)
(6,-4)
(9,-13)
Find the slope of the line.

Answers

Answer:

The slope would be (i believe, sorry if I am wrong)  3/-1. Rise over run.  So you would go up 3 and left 1.

Step-by-step explanation:

The sum of six and a number multiplied by
five is 11.

Answers

Answer:

ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg

Step-by-step explanation:

Step-by-step answer:

6+5n=11

6+5n-6=11-6

5n=5

5n/5=5/5

n=1

Plzzzzz give me Brainliest!!!!!  

the base of a parallelogram is 2
more than the height
The area of the parallelogram is 120yd^2, find the base and the height

Answers

Answer22:22

Step-by-step explanation:

What is the slope of a line that passes through the origin and the point (-2,1)?

Answers

Given:

A line passes through the origin and the point (-2,1).

To find:

The slope of the line.

Solution:

If a line passes though two point, then the slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that a line passes through the origin, .i.e., (0,0) and the point (-2,1). So, the slope of the line is

[tex]m=\dfrac{1-0}{-2-0}[/tex]

[tex]m=\dfrac{1}{-2}[/tex]

[tex]m=-\dfrac{1}{2}[/tex]

Therefore, the slope of the line is [tex]-\dfrac{1}{2}[/tex].

The students in the music club sold tickets to their spring concert. The table shows the
amount of money raised and the number of tickets sold by each of four students.
What is the constant of proportionality for the sales?

Answers

Answer:

Step-by-step explanation:

You divide the tickets sold and money raised and your supposed to get 5 on all of them . Answer : 5

The constant of proportionality for the sales is 1/5. Therefore, option D is the correct answer.

What is a proportional relationship?

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

The given table shows the amount of money raised and the number of tickets sold by each of four students.

The constant of proportionality for the sales is

Fawn: 15/85 =1/5

Ryan: 13/65 =1/5

Daisy: 9/45 =1/5

Doug: 6/30 =1/5

Therefore, option D is the correct answer.

To learn more about the proportional relationship visit:

brainly.com/question/12917806.

#SPJ5

Plz Plz plzzzzzz answer​

Answers

Answer:

c i think

Step-by-step explanation:

also i like anime to!

Answer:

c I think I might be wrong tho

What is the constant in the expression 12q + 9e + 15

Answers

Answer:

Step-by-step explanation:

the constant in this expression is 15

15 is the correct answer.

HELP PLA I NEED HELP

Answers

x=20

x=5 root under 3

x=4 root under 2

430 were sold.
4.25 for soda
5.50 for popcorn
the total is 2077.50
how many of each were sold? ​

Answers

Answer:

Soda = 230

Popcorn = 200

Step-by-step explanation:

(4.25 x 230) + (5.50 x 200) = 2,077.50

230 + 200 = 430

What is 89 x 780 I need to know it please help.

Answers

Answer:780x89= 69,420

Simple math!

Step-by-step explanation:

69,420 hope this helps shug!

Suppose the linear regression line y = 2.009x - 37.131 predicts a pizza
parlor's profits based on the number of pizzas sold. If x represents the
number of pizzas sold, and y represents the pizza parlor's profits in dollars,
about how much can the pizza parlor expect in profits if it sells 275 pizzas?

Answers

Answer:

Pizza parlor's profit = $515.344

Step-by-step explanation:

Given that:

Linear regression line for pizza parlor's profit

y = 2.009x - 37.131

x represents the number of pizzas sold

y represent the profit in dollars

Profit for 275 pizzas

Putting x = 275 in given equation

y = 2.009(275) - 37.131

y = 552.475 - 37.131

y = 515.344

Hence,

Pizza parlor's profit = $515.344

What is a power function and what restrictions does it have?

Answers

Answer:

A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.

Step-by-step explanation:

Zara has forgotten her 4-digit PIN code.
She knows the first digit is a factor of 10 and the 4 digits make a number divisible by 5.
How many different sets of 4 digits could it be?

Answers

800 different sets of digits


Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.
For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.
So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits

Answer:

800 different 4 digit passwords can be the pin

Step-by-step explanation:

Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5.

These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.

For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have

10 digits permuted in 1 way,  and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way,

So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is

4 × 10 × 10 × 2 = 800 different sets of digits

What integer describes a decrease of seven? (A. 7 / B. -7 / C. 0 / D. 1/7)

Answers

Answer:

I thin B -7 cause its negative and negative goes down.

Step-by-step explanation:

6th grade math!!!!!!!!!!!​

Answers

Answer:

8(y-3) and 8y-24

Step-by-step explanation:

The parentheses mean that you're multiplying 8 and the difference of y and 3.

If you carry out the distributive property, you'll get 8y-24

Answer:8(y-3) and 8y-24

Step-by-step explanation:

I've had this problem before on a different test!

The money used in Tajikistan is called the
Somoni. The exchange rate is $7 = 22
Somoni. Find how many
dollars
you
would receive if you exchanged 66
Somoni.
O $16
O $18
O $207,43
$21

Answers

You will receive $21 if you exchanged 66 Somoni.

solve for x. round to the nearest tenth.

pls help.

Answers

Answer:

x = 7.2

Step-by-step explanation:

you can use the cos of 63 and set it equal to adjacent / hypotenuse

cos 63° =  x  

                16

.45 =  x  

         16

x = 16(.45)

x = 7.2

Find the slope of the graph

Answers

2/3 (i’m not amazing at slope but i believe it is 2/3)

Answer:

[tex]-\frac43[/tex]

Step-by-step explanation:

Hello!

Slope is calculated by the formula [tex]\frac{Rise}{Run}[/tex].

Rise is the change in y between two pointsRun is the change in x between two points.

The two points I'm picking is (0,0) and (3,-4).

The change in y (0 and -4) is -4.The change in x (0 and 3) is 3.

Therefore, the slope is [tex]-\frac43[/tex].

Help me please........::.:::::::::::...:

Answers

Answer: Tuesday

Explanation: There is the biggest increase between Monday and Tuesday

Here is a rectangle ABCD.
The length of the rectangle is increased by 10%.
The width of the rectangle is increased by 5%.
Find the percentage increase in the perimeter of the rectangle.

Answers

Answer:

it will increase 5 percent

Answer:

8%

Step-by-step explanation:

John went to the store and bought 4 pencils
and 10 binders and spent $64. Carmen went
to the same store and bought 7 pencils and 4
binders and spent $31. If Lisa wants to buy
pencils and binders from the same store,
how much should they tell her each item
costs?

Answers

You would have to use system of equations for this problem.
X= pencils and Y= binders
4x + 10y = 64
7x + 4y= 31
Pencils are $1 each and binders are $6 each.

There are 13 apples in a basket. 5 of these apples are green. The rest of them are red.


(a) What is the ratio of all apples in the basket to red apples?

(b) What is the ratio of red apples to green apples?

Answers

Answer:

A) 13:8

b) 8:5

Step-by-step explanation:

In this question, we will be making ratios.

Ratios are represented as a:b whereas "a" and "b" represent the different scenarios.

(a) What is the ratio of all apples in the basket to red apples?

In this question, we need to make ratio with total apples and red apples.

We will write the ratio in respective order, or from left to right in the statement.

We know that our total amount of apples is 13, so that would go on the left side of the ratio.

We need to find the amount of red apples in the basket. We already have 5 green apples, so subtract 5 from 13.

13 - 5 = 8

We have 8 red apples, so that would go on the right side of the ratio.

Your ratio should be:

13:8

(b) What is the ratio of red apples to green apples?

In this question, we have to make a ratio of red apples to green apples.

We know that there are 8 red apples, we also know that there's 5 green apples.

With this information, we can make our ratio:

8:5

it is in the picture

Answers

Answer:

C.x+8=3x

hope it helps.

IF U ANSWER THIS CORRECTLY I WILL MARK U BRAINLIEST AND GIVE YOU 20 NOTIFICATIONS!!!!! (the good notifications)

Moussa is preheating his oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 6 minutes after being turned on? What is the temperature of the oven t minutes after being turned on?

Answers

Answer:

After 6 minutes the temperature would be 190 degrees.

Step-by-step explanation:

6 x 20 = 120 + 70 = 190.

Answer:

(Answer Below)

Step-by-step explanation:

Brainliest are appreciated. I don't want 20 notifications. I prefer if you buy me a biteable account. Costs $19.

Please help me on this

Answers

9514 1404 393

Answer:

number of cups purchasedtotal monthly costtotal monthly costnumber of cups purchasedM(x) = 2x +15M(13) = 4113 cups purchased in a monthhave a total monthly cost of $41

Step-by-step explanation:

When you have a wording that matches ...

  A depends on B

It means that A is the dependent variable, and B is the independent variable.

Here, the total monthly cost depends on the number of cups purchased.

That statement tells you that "total monthly cost" is the dependent variable, and "number of cups purchased" is the independent variable (x).

The first four (4) blanks you're to fill represent two different ways of saying this same thing.

__

The equation is a mathematical expression of the way the costs add up.

  total monthly cost = (program cost) + (per-cup cost) × (number of cups)

  M(x) = 15 + 2x

Then M(13) is ...

  M(13) = 15 + 2·13 = 15 +26 = 41

So the total monthly cost for the purchase of 13 cups of coffee is $41.

Pls help and show workings

Answers

Answer: x = 11

Step-by-step explanation:

same as the last question, set them as equal and solve. here's my work:

5x - 1 = 4x + 10

5x - 1 (+ 1) = 4x + 10 (+ 1)

5x = 4x + 11

5x (- 4x) = 4x (- 4x) + 11

x = 11

35 divided by 1 3/4 and 5

Answers

Answer:

25

Step-by-step explanation:

Pls help and show workings due asap

Answers

Step-by-step explanation:

l^2=15^2+6^2

l^2=225+36

l^2=261

l=√261

Find the average rate of change
f(x)=x^2−6x+8 when x2=1 and x1=3

Answers

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

Given function is:

[tex]f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3[/tex]

In order to find the rate of change, we have to find the value of function on x1 and x2

So,

[tex]f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3[/tex]

The formula for finding the rate of change is:

[tex]Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

Putting the values, we get

[tex]=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2[/tex]

Hence,

Average rate of change for given function is: -2

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

The quotient of ten and a number that is greater than four

Answers

A quotient is dealing with division and less than means subtraction. Let's say "a number" in this example is "x". So, we are going to divide x - 4 by 7 and set it equal to 10:

(x - 4) = 10
7
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